Evidence for fractional topological charge in SU(2) pure Yang-Mills theory
arXiv:hep-lat/9810003 · doi:10.1016/S0920-5632(99)85116-0
Abstract
We investigate the spectral flows of the hermitian Wilson-Dirac operator in the fundamental and adjoint representations on two ensembles of pure SU(2) gauge field configurations at the same physical volume. We find several background gauge field configurations where the index of the hermitian Wilson-Dirac operator in the adjoint representation is not four times the index in the fundamental representation. This could imply a topological basis for the existence of degenerate vacua in supersymmetric Yang-Mills theories.
3 pages with 2 ps figures; to appear in the proceedings of Lattice '98, Boulder, CO, July 13--18, 1998. LATTICE98(confine)
References in corpus (2)
Cited by in corpus (5)
- Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
- Super Yang-Mills on the lattice with domain wall fermions
- Intersections of thick Center Vortices, Dirac Eigenmodes and Fractional Topological Charge in SU(2) Lattice Gauge Theory
- Gluino Condensation in an Interacting Instanton Ensemble
- Lattice Index Theorem and Fractional Topological Charge